The guard picked up the injury early in the team's opening game of the playoffs against the Golden State Warriors at the weekend.
Coach Doc Rivers told ESPN: "He won't do much. He may do a little tomorrow but nothing today. We're not doing anything today anyway, but I don't need him doing anything.
"The hamstring, yes, he needs [time off] because I think he's doing everything he can with it, to be honest. The two days are huge for us and him."
Paul has indicated that he will be able to play through the injury when the teams meet again tomorrow evening.